1.

A steel ball is hung from a vertical ideal spring where it oscillates in simple harmonic motion with a period T. At time t = 0 s, the ball is at its maximum displacement (the amplitude), Xm, from its equilibrium position. In terms of the period, at what time (first time) will the ball be at x = 0.50xm?A block is attached to the end of a horizontal ideal spring and rests on a frictionless surface. The other end of the spring is attached to a wall. The block is pulled away from the spring's equilibrium position by a distance Xm = 1.16 m and released from rest. The period of the subsequent periodic motion of the block is 8.0 s. At what distance (in meters) from the equilibrium position is the particle when t = 1.0 s? Please round your answer to three decimal places